Some exact solutions to Stefan problems with fractional differential equations

Some exact solutions to the first, second and extended Stefan problems with fractional time derivative described in the Caputo sense are given by means of fractional Green's function and Wright function in this paper. By the aid of simple calculations, many results of differential equations of...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 351; no. 2; pp. 536 - 542
Main Authors Liu, Junyi, Xu, Mingyu
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 15.03.2009
Elsevier
Subjects
Exact sciences and technology
Exact solutions
Fractional time derivative
Mathematical analysis
Mathematics
Ordinary differential equations
Real functions
Sciences and techniques of general use
Stefan problems
Fractional time derivative
Stefan problems
Exact solutions
Integer
Stefan problem
Mathematical analysis
Differential equation
Application
Green function
Exact solution
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Summary:Some exact solutions to the first, second and extended Stefan problems with fractional time derivative described in the Caputo sense are given by means of fractional Green's function and Wright function in this paper. By the aid of simple calculations, many results of differential equations of integer order can be obtained as special cases of the results given by this paper.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2008.10.042